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2023 · 10 Apr · Shift 1

74 questions · JEE Main

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2023 · 10 Apr · Shift 1

2023 · 10 Apr · Shift 1

74 questions · JEE Main

Chemistry23 questions Mathematics23 questions Physics28 questions

Chemical Bonding and Molecular StructureChemistry · 3 questions Some Basic Concepts of ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions Chemical EquilibriumChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions P Block ElementsChemistry · 1 questions ElectrochemistryChemistry · 1 questions SolutionsChemistry · 1 questions Indefinite IntegralsMathematics · 1 questions 3D GeometryMathematics · 1 questions EllipseMathematics · 1 questions Vector AlgebraMathematics · 2 questions FunctionsMathematics · 1 questions Binomial TheoremMathematics · 2 questions ProbabilityMathematics · 1 questions Application of DerivativesMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions CircleMathematics · 1 questions Differential EquationsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Complex NumbersMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Sets and RelationsMathematics · 1 questions StatisticsMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions LogarithmMathematics · 1 questions Electromagnetic InductionPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Properties of MatterPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions CapacitorPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Motion in A PlanePhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Current ElectricityPhysics · 2 questions Geometrical OpticsPhysics · 1 questions GravitationPhysics · 3 questions Motion in A Straight LinePhysics · 1 questions Atoms and NucleiPhysics · 1 questions Alternating CurrentPhysics · 1 questions Electronic DevicesPhysics · 1 questions Center of MassPhysics · 1 questions WavesPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Wave OpticsPhysics · 1 questions ElectrostaticsPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions

Q1.The compound which does not exist is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.The number of molecules and moles in 2.8375 litres of O $_{2}$ at STP are respectively
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q3.The one that does not stabilize 2 $^{\circ}$ and 3 $^{\circ}$ structures of proteins is
Chemistry · Biomolecules · MCQ
Q4.The major product 'P' formed in the given reaction is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.Prolonged heating is avoided during the preparation of ferrous ammonium sulphate to :
Chemistry · D and F Block Elements · MCQ
Q6.Which of the following statements are correct? (A) The M $^{3 +}$ /M $^{2 +}$ reduction potential for iron is greater than manganese. (B) The higher oxidation states of first row d-block elements get stabilized by oxide ion. (C) Aqueous…
Chemistry · D and F Block Elements · MCQ
Q7.The octahedral diamagnetic low spin complex among the following is :
Chemistry · Coordination Compounds · MCQ
Q8.Using column chromatography, mixture of two compounds 'A' and 'B' was separated. 'A' eluted first, this indicates 'B' has
Chemistry · Basics of Organic Chemistry · MCQ
Q9.Given $Δ H^{0}$ for the reaction $C (graphite) + \frac{1}{2} O_{2} (g) \to CO (g)$ is : Includes table
Chemistry · Thermodynamics · MCQ
Q10.Isomeric amines with molecular formula C $_{8}$ H $_{11}$ N give the following tests Isomer (P) $\Rightarrow$ Can be prepared by Gabriel phthalimide synthesis Isomer (Q) $\Rightarrow$ Reacts with Hinsberg's reagent to give solid insoluble in…
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.Given below are two statements: Statement I : Aqueous solution of K $_{2}$ Cr $_{2}$ O $_{7}$ is preferred as a primary standard in volumetric analysis over Na $_{2}$ Cr $_{2}$ O $_{7}$ aqueous solution. Statement II : K $_{2}$ Cr $_{2}$ O $_{7}$ has a…
Chemistry · Practical Organic Chemistry · MCQ
Q12.Suitable reaction condition for preparation of Methyl phenyl ether is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.Identify the correct order of reactivity for the following pairs towards the respective mechanism Choose the correct answer from the options given below: Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q14.The pair from the following pairs having both compounds with net non-zero dipole moment is
Chemistry · Haloalkanes and Haloarenes · MCQ
Q15.In potassium ferrocyanide, there are pairs of electrons in the $t_{2 g}$ set of orbitals.
Chemistry · Coordination Compounds · Numerical
Q16.The number of bent-shaped molecule/s from the following is N $_{3}^{-}$ , NO $_{2}^{-}$ , I $_{3}^{-}$ , O $_{3}$ , SO $_{2}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17.The number of correct statement/s involving equilibria in physical processes from the following is (A) Equilibrium is possible only in a closed system at a given temperature. (B) Both the opposing processes occur…
Chemistry · Chemical Equilibrium · Numerical
Q18.The sum of lone pairs present on the central atom of the interhalogen IF $_{5}$ and IF $_{7}$ is
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q19.The number of incorrect statement/s about the black body from the following is (A) Emit or absorb energy in the form of electromagnetic radiation. (B) Frequency distribution of the emitted radiation depends on…
Chemistry · Structure of Atom · Numerical
Q20.A molecule undergoes two independent first order reactions whose respective half lives are 12 min and 3 min. If both the reactions are occurring then the time taken for the 50% consumption of the reactant is min.…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q21.In the following reactions, the total number of oxygen atoms in X and Y is . Na $_{2}$ O + H $_{2}$ O $\to$ 2X Cl $_{2}$ O $_{7}$ + H $_{2}$ O $\to$ 2Y
Chemistry · P Block Elements · Numerical
Q22. $Fe O_{4}^{2 -} + 2.2V F e^{3 +} + 0.70V F e^{2 +} - 0.45V F e^{0}$ $E_{F e O_{4}^{2 -} / F e^{2 +}}^{θ}$ is $x \times 1 0^{- 3}$ V. The value of $x$ is
Chemistry · Electrochemistry · Numerical
Q23.If the degree of dissociation of aqueous solution of weak monobasic acid is determined to be 0.3, then the observed freezing point will be % higher than the expected/theoretical freezing point. (Nearest integer)
Chemistry · Solutions · Numerical
Q24.If $I (x) = \int e^{s i n^{2} x} (cos x sin 2 x - sin x) d x$ and $I (0) = 1$ , then $I (\frac{π}{3})$ is equal to :
Mathematics · Indefinite Integrals · MCQ
Q25.The shortest distance between the lines $\frac{x + 2}{1} = \frac{y}{- 2} = \frac{z - 5}{2}$ and $\frac{x - 4}{1} = \frac{y - 1}{2} = \frac{z + 3}{0}$ is :
Mathematics · 3D Geometry · MCQ
Q26.Let the ellipse $E : x^{2} + 9 y^{2} = 9$ intersect the positive x and y-axes at the points A and B respectively. Let the major axis of E be a diameter of the circle C. Let the line passing through A and B meet the circle C at the point P. If…
Mathematics · Ellipse · MCQ
Q27.Let O be the origin and the position vector of the point P be $- i - 2 j + 3 k$ . If the position vectors of the points A, B and C are $- 2 i + j - 3 k, 2 i + 4 j - 2 k$ …
Mathematics · Vector Algebra · MCQ
Q28.If $f (x) = \frac{( t a n 1 ^{\circ} ) x + l o g _{e} ( 123 )}{x l o g _{e} ( 1234 ) - ( t a n 1 ^{\circ} )}, x > 0$ , then the least value of $f (f (x)) + f (f (\frac{4}{x}))$ is :
Mathematics · Functions · MCQ
Q29.If the coefficient of $x^{7}$ in $(a x - \frac{1}{b x ^{2}})^{13}$ and the coefficient of $x^{- 5}$ in $(a x + \frac{1}{b x ^{2}})^{13}$ are equal, then $a^{4} b^{4}$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q30.An arc PQ of a circle subtends a right angle at its centre O. The mid point of the arc PQ is R. If $O P = u, O R = v$ , and $O Q = α u + β v$ …
Mathematics · Vector Algebra · MCQ
Q31.Let N denote the sum of the numbers obtained when two dice are rolled. If the probability that $2^{N} < N!$ is $\frac{m}{n}$ , where m and n are coprime, then $4 m - 3 n$ is equal to :
Mathematics · Probability · MCQ
Q32.A square piece of tin of side 30 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. If the volume of the box is maximum, then its surface area (in cm $^{2}$ ) is equal to :
Mathematics · Application of Derivatives · MCQ
Q33. $96 cos \frac{π}{33} cos \frac{2 π}{33} cos \frac{4 π}{33} cos \frac{8 π}{33} cos \frac{16 π}{33}$ is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q34.For the system of linear equations $2 x - y + 3 z = 53 x + 2 y - z = 74 x + 5 y + α z = β$ , which of the following is NOT correct?
Mathematics · Matrices and Determinants · MCQ
Q35.A line segment AB of length $λ$ moves such that the points A and B remain on the periphery of a circle of radius $λ$ . Then the locus of the point, that divides the line segment AB in the ratio 2 : 3, is a circle of radius :
Mathematics · Circle · MCQ
Q36.Let $f$ be a differentiable function such that $x^{2} f (x) - x = 4 0 \int x t f (t) d t$ , $f (1) = \frac{2}{3}$ . Then $18 f (3)$ is equal to :
Mathematics · Differential Equations · MCQ
Q37.Let the first term $α$ and the common ratio r of a geometric progression be positive integers. If the sum of squares of its first three terms is 33033, then the sum of these three terms is equal to
Mathematics · Sequences and Series · MCQ
Q38.Let the complex number $z = x + i y$ be such that $\frac{2 z - 3 i}{2 z + i}$ is purely imaginary. If $x + y^{2} = 0$ , then $y^{4} + y^{2} - y$ is equal to :
Mathematics · Complex Numbers · MCQ
Q39.Let $f : (- 2, 2) \to R$ be defined by $f (x) = {x [x], (x - 1) [x], - 2 < x < 0 0 \leq x \leq 2$ where $[x]$ denotes the greatest integer function. If m and n…
Mathematics · Limits Continuity and Differentiability · Numerical
Q40.Let $y = p (x)$ be the parabola passing through the points $(- 1, 0), (0, 1)$ and $(1, 0)$ . If the area of the region ${(x, y) : (x + 1)^{2} + (y - 1)^{2} \leq 1, y \leq p (x)}$ is A, then $12 (π - 4 A)$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q41.The number of elements in the set ${n \in Z : ∣ n^{2} - 10 n + 19∣ < 6}$ is .
Mathematics · Sets and Relations · Numerical
Q42.If the mean of the frequency distribution is 28, then its variance is . Includes table
Mathematics · Statistics · Numerical
Q43.The number of permutations, of the digits 1, 2, 3, ..., 7 without repetition, which neither contain the string 153 nor the string 2467, is .
Mathematics · Permutations and Combinations · Numerical
Q44.The coefficient of $x^{7}$ in $(1 - x + 2 x^{3})^{10}$ is .
Mathematics · Binomial Theorem · Numerical
Q45.Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is 840, then the total number of persons, who participated in the tournament, is …
Mathematics · Permutations and Combinations · Numerical
Q46.Let a, b, c be three distinct positive real numbers such that $(2 a)^{l o g_{e} a} = (b c)^{l o g_{e} b}$ and $b^{l o g_{e} 2} = a^{l o g_{e} c}$ . Then, 6a + 5bc is equal to .
Mathematics · Logarithm · Numerical
Q47.Given below are two statements: Statement I : If the number of turns in the coil of a moving coil galvanometer is doubled then the current sensitivity becomes double. Statement II : Increasing current sensitivity of a moving coil…
Physics · Electromagnetic Induction · MCQ
Q48.A physical quantity P is given as $P = \frac{a ^{2} b ^{3}}{c d}$ The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be
Physics · Units and Measurements · MCQ
Q49.Given below are two statements: Statement I : Pressure in a reservoir of water is same at all points at the same level of water. Statement II : The pressure applied to enclosed water is transmitted in all directions equally. In the light…
Physics · Properties of Matter · MCQ
Q50.The energy of an electromagnetic wave contained in a small volume oscillates with
Physics · Electromagnetic Waves · MCQ
Q51.The equivalent capacitance of the combination shown is : Includes diagram
Physics · Capacitor · MCQ
Q52.Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to $\frac{1}{8}$ of its original volume while the gas in B is compressed…
Physics · Heat and Thermodynamics · MCQ
Q53.The range of the projectile projected at an angle of 15 $^{\circ}$ with horizontal is 50 m. If the projectile is projected with same velocity at an angle of 45 $^{\circ}$ with horizontal, then its range will be
Physics · Motion in A Plane · MCQ
Q54.A particle executes S.H.M. of amplitude A along x-axis. At t = 0, the position of the particle is $x = \frac{A}{2}$ and it moves along positive x-axis. The displacement of particle in time t is $x = A sin (w t + δ)$ , then the value of $δ$ …
Physics · Simple Harmonic Motion · MCQ
Q55.The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is $λ_{1}$ . If the temperature of the gas is increased to 600 K, then the de Broglie wavelength of the same gas molecule becomes
Physics · Dual Nature of Radiation · MCQ
Q56.The equivalent resistance of the circuit shown below between points a and b is : Includes diagram
Physics · Current Electricity · MCQ
Q57.An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by 4 cm towards the stationary object. The distance by which the position of image would be…
Physics · Geometrical Optics · MCQ
Q58.Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r & 3r respectively. The ratio of orbital speeds of the satellites respectively is
Physics · Gravitation · MCQ
Q59.The position-time graphs for two students A and B returning from the school to their homes are shown in figure. (A) A lives closer to the school (B) B lives closer to the school (C) A takes lesser time to reach home (D) A travels faster… Includes diagram
Physics · Motion in A Straight Line · MCQ
Q60.The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to revolve in second orbit of hydrogen atom, then the change in angular momentum will be
Physics · Atoms and Nuclei · MCQ
Q61.Given below are two statements: Statement I : Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an AC source, when resonance occurs Statement II : Maximum power is…
Physics · Alternating Current · MCQ
Q62.Match List I with List II : Choose the correct answer from the options given below: Includes table
Physics · Heat and Thermodynamics · MCQ
Q63.Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth $d = \frac{R}{2}$ from the surface of earth, if its weight on the surface of earth is 200 N, will be: (Given R = radius of earth)
Physics · Gravitation · MCQ
Q64.A zener diode of power rating 1.6 W is to be used as voltage regulator. If the zener diode has a breakdown of 8V and it has to regulate voltage fluctuating between 3 V and 10 V. The value of resistance Rs for safe operation of diode will be Includes diagram
Physics · Electronic Devices · MCQ
Q65.A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together and continue to move together with velocity
Physics · Center of Mass · MCQ
Q66.A transverse harmonic wave on a string is given by $y (x, t) = 5 sin (6 t + 0.003 x)$ where x and y are in cm and t in sec. The wave velocity is ms $^{- 1}$ .
Physics · Waves · Numerical
Q67.10 resistors each of resistance 10 $Ω$ can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be .
Physics · Current Electricity · Numerical
Q68.A 1 m long metal rod XY completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of flux density 0.15 T. If the resistance of the circuit is 5 $Ω$ , the force needed to move the rod in… Includes diagram
Physics · Electromagnetic Induction · Numerical
Q69.A closed circular tube of average radius 15 cm, whose inner walls are rough, is kept in vertical plane. A block of mass 1 kg just fit inside the tube. The speed of block is 22 m/s, when it is introduced at the top of tube. After completing… Includes diagram
Physics · Work Power and Energy · Numerical
Q70.Unpolarised light of intensity 32 Wm $^{- 2}$ passes through the combination of three polaroids such that the pass axis of the last polaroid is perpendicular to that of the pass axis of first polaroid. If intensity of emerging light is 3 Wm…
Physics · Wave Optics · Numerical
Q71.Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively [a < b < c] have surface charge densities $σ, - σ$ and $σ$ respectively. The shells X and Z are at same potential. If the radii of X…
Physics · Electrostatics · Numerical
Q72.If the earth suddenly shrinks to $\frac{1}{64}$ th of its original volume with its mass remaining the same, the period of rotation of earth becomes $\frac{24}{x}$ h. The value of x is .
Physics · Gravitation · Numerical
Q73.The current required to be passed through a solenoid of 15 cm length and 60 turns in order of demagnetise a bar magnet of magnetic intensity $2.4 \times 1 0^{3} A m^{- 1}$ is A.
Physics · Magnetic Properties of Matter · Numerical
Q74.Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is $\times$ 10 $^{- 6}$ m. [Young's modulus for… Includes diagram
Physics · Properties of Matter · Numerical